106201374400 has 168 divisors, whose sum is σ = 285332027760. Its totient is φ = 38584320000.

The previous prime is 106201374371. The next prime is 106201374431. The reversal of 106201374400 is 4473102601.

It is a super-2 number, since 2×106201374400² (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 23 ways as a sum of consecutive naturals, for example, 28175716 + ... + 28179484.

Almost surely, 2^106201374400 is an apocalyptic number.

106201374400 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 106201374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142666013880).

106201374400 is an abundant number, since it is smaller than the sum of its proper divisors (179130653360).

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

106201374400 is a wasteful number, since it uses less digits than its factorization.

106201374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 106201374400 in words is "one hundred six billion, two hundred one million, three hundred seventy-four thousand, four hundred".