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106573441152 = 273277535003
BaseRepresentation
bin110001101000001000…
…1011010100010000000
3101012002021201202022010
41203100101122202000
53221230300104102
6120543102412520
710461663205653
oct1432021324200
9335067652263
10106573441152
1141219a247a2
12187a3291140
13a0856354a9
1452300a189a
152b8b395d6c
hex18d045a880

106573441152 has 32 divisors (see below), whose sum is σ = 283085704080. Its totient is φ = 35524480256.

The previous prime is 106573441151. The next prime is 106573441153. The reversal of 106573441152 is 251144375601.

It is an interprime number because it is at equal distance from previous prime (106573441151) and next prime (106573441153).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1065734411522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106573441152.

It is not an unprimeable number, because it can be changed into a prime (106573441151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138767118 + ... + 138767885.

Almost surely, 2106573441152 is an apocalyptic number.

106573441152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106573441152 is an abundant number, since it is smaller than the sum of its proper divisors (176512262928).

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

106573441152 is an equidigital number, since it uses as much as digits as its factorization.

106573441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277535020 (or 277535008 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 106573441152 in words is "one hundred six billion, five hundred seventy-three million, four hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 277535003 555070006 832605009 1110140012 1665210018 2220280024 3330420036 4440560048 6660840072 8881120096 13321680144 17762240192 26643360288 35524480384 53286720576 106573441152