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1055605100 = 2252116714323
BaseRepresentation
bin111110111010110…
…100000101101100
32201120022021222012
4332322310011230
54130213330400
6252425140352
735105331614
oct7672640554
92646267865
101055605100
114a1952810
1225562a6b8
1313a908904
14a02a3a44
1562a16d35
hex3eeb416c

1055605100 has 72 divisors (see below), whose sum is σ = 2536379328. Its totient is φ = 378100800.

The previous prime is 1055605099. The next prime is 1055605127. The reversal of 1055605100 is 15065501.

It is a super-2 number, since 2×10556051002 = 2228604254292020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66539 + ... + 80861.

Almost surely, 21055605100 is an apocalyptic number.

1055605100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268189664).

1055605100 is an abundant number, since it is smaller than the sum of its proper divisors (1480774228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055605100 is a wasteful number, since it uses less digits than its factorization.

1055605100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14415 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 1055605100 is about 32490.0769466617. The cubic root of 1055605100 is about 1018.2017206076.

The spelling of 1055605100 in words is "one billion, fifty-five million, six hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14323 14740 18425 28646 36850 57292 71615 73700 143230 157553 286460 315106 358075 630212 716150 787765 959641 1432300 1575530 1919282 3151060 3838564 3938825 4798205 7877650 9596410 10556051 15755300 19192820 21112102 23991025 42224204 47982050 52780255 95964100 105560510 211121020 263901275 527802550 1055605100