106436772400 has 120 divisors (see below), whose sum is σ = 293010960384. Its totient is φ = 36396960000.

The previous prime is 106436772397. The next prime is 106436772433. The reversal of 106436772400 is 4277634601.

It is a super-2 number, since 2×106436772400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1022775 + ... + 1122025.

Almost surely, 2^106436772400 is an apocalyptic number.

106436772400 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 106436772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146505480192).

106436772400 is an abundant number, since it is smaller than the sum of its proper divisors (186574187984).

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

106436772400 is a wasteful number, since it uses less digits than its factorization.

106436772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99659 (or 99648 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 106436772400 in words is "one hundred six billion, four hundred thirty-six million, seven hundred seventy-two thousand, four hundred".