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106144496 = 24311731237
BaseRepresentation
bin1100101001110…
…10001011110000
321101201200212122
412110322023300
5204133110441
614311013412
72426133113
oct624721360
9241650778
10106144496
1154a08a27
122b66a268
1318cb54c3
141015057a
1594ba34b
hex653a2f0

106144496 has 40 divisors (see below), whose sum is σ = 213688704. Its totient is φ = 51022080.

The previous prime is 106144483. The next prime is 106144499. The reversal of 106144496 is 694441601.

It is a happy number.

It is a super-2 number, since 2×1061444962 = 22533308062188032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106144499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85190 + ... + 86426.

Almost surely, 2106144496 is an apocalyptic number.

106144496 is a gapful number since it is divisible by the number (16) 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 106144496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106844352).

106144496 is an abundant number, since it is smaller than the sum of its proper divisors (107544208).

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

106144496 is a wasteful number, since it uses less digits than its factorization.

106144496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 106144496 is about 10302.6450972554. The cubic root of 106144496 is about 473.4772971247.

The spelling of 106144496 in words is "one hundred six million, one hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 173 248 346 496 692 1237 1384 2474 2768 4948 5363 9896 10726 19792 21452 38347 42904 76694 85808 153388 214001 306776 428002 613552 856004 1712008 3424016 6634031 13268062 26536124 53072248 106144496