106362428480 has 448 divisors, whose sum is σ = 345174441984. Its totient is φ = 30191616000.

The previous prime is 106362428461. The next prime is 106362428527. The reversal of 106362428480 is 84824263601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106362428480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12981185 + ... + 12989375.

Almost surely, 2^106362428480 is an apocalyptic number.

106362428480 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 106362428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172587220992).

106362428480 is an abundant number, since it is smaller than the sum of its proper divisors (238812013504).

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

106362428480 is a wasteful number, since it uses less digits than its factorization.

106362428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8264 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 106362428480 in words is "one hundred six billion, three hundred sixty-two million, four hundred twenty-eight thousand, four hundred eighty".