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106003400 = 2352530017
BaseRepresentation
bin1100101000101…
…11101111001000
321101110112022212
412110113233020
5204114102100
614304004252
72425004546
oct624275710
9241415285
10106003400
1154921a18
122b600688
1318c66209
1410114d96
15948d635
hex6517bc8

106003400 has 24 divisors (see below), whose sum is σ = 246458370. Its totient is φ = 42401280.

The previous prime is 106003369. The next prime is 106003411. The reversal of 106003400 is 4300601.

It can be written as a sum of positive squares in 3 ways, for example, as 47969476 + 58033924 = 6926^2 + 7618^2 .

It is a super-2 number, since 2×1060034002 = 22473441623120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264809 + ... + 265208.

Almost surely, 2106003400 is an apocalyptic number.

106003400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106003400 is an abundant number, since it is smaller than the sum of its proper divisors (140454970).

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

106003400 is a wasteful number, since it uses less digits than its factorization.

106003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530033 (or 530024 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 106003400 is about 10295.7952582596. The cubic root of 106003400 is about 473.2674090999.

The spelling of 106003400 in words is "one hundred six million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 530017 1060034 2120068 2650085 4240136 5300170 10600340 13250425 21200680 26500850 53001700 106003400