106123051400 has 24 divisors (see below), whose sum is σ = 246736094970. Its totient is φ = 42449220480.

The previous prime is 106123051367. The next prime is 106123051457. The reversal of 106123051400 is 4150321601.

It can be written as a sum of positive squares in 3 ways, for example, as 42738946756 + 63384104644 = 206734^2 + 251762^2 .

It is a super-2 number, since 2×106123051400² (a number of 23 digits) 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, 265307429 + ... + 265307828.

Almost surely, 2^106123051400 is an apocalyptic number.

106123051400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106123051400 is an abundant number, since it is smaller than the sum of its proper divisors (140613043570).

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

106123051400 is a wasteful number, since it uses less digits than its factorization.

106123051400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530615273 (or 530615264 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 106123051400 in words is "one hundred six billion, one hundred twenty-three million, fifty-one thousand, four hundred".