106603952400 has 1080 divisors, whose sum is σ = 428764557312. Its totient is φ = 24482304000.

The previous prime is 106603952381. The next prime is 106603952423. The reversal of 106603952400 is 4259306601.

It is a happy number.

106603952400 is a `hidden beast` number, since 1 + 0 + 6 + 603 + 9 + 5 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×106603952400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 839401137 + ... + 839401263.

Almost surely, 2^106603952400 is an apocalyptic number.

106603952400 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 106603952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214382278656).

106603952400 is an abundant number, since it is smaller than the sum of its proper divisors (322160604912).

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

106603952400 is a wasteful number, since it uses less digits than its factorization.

106603952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 106603952400 in words is "one hundred six billion, six hundred three million, nine hundred fifty-two thousand, four hundred".