106367022400 has 84 divisors (see below), whose sum is σ = 262314042300. Its totient is φ = 42451763200.

The previous prime is 106367022389. The next prime is 106367022431. The reversal of 106367022400 is 4220763601.

It can be written as a sum of positive squares in 6 ways, for example, as 6930229504 + 99436792896 = 83248^2 + 315336^2 .

It is a super-2 number, since 2×106367022400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644370 + ... + 792430.

Almost surely, 2^106367022400 is an apocalyptic number.

106367022400 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 106367022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131157021150).

106367022400 is an abundant number, since it is smaller than the sum of its proper divisors (155947019900).

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

106367022400 is a wasteful number, since it uses less digits than its factorization.

106367022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148532 (or 148517 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 106367022400 in words is "one hundred six billion, three hundred sixty-seven million, twenty-two thousand, four hundred".