106687023480 has 128 divisors (see below), whose sum is σ = 355824230400. Its totient is φ = 28433808000.

The previous prime is 106687023449. The next prime is 106687023613. The reversal of 106687023480 is 84320786601.

106687023480 is a `hidden beast` number, since 10 + 66 + 87 + 0 + 23 + 480 = 666.

It is a super-2 number, since 2×106687023480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950505 + ... + 2004455.

It is an arithmetic number, because the mean of its divisors is an integer number (2779876800).

Almost surely, 2^106687023480 is an apocalyptic number.

106687023480 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 106687023480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177912115200).

106687023480 is an abundant number, since it is smaller than the sum of its proper divisors (249137206920).

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

106687023480 is a wasteful number, since it uses less digits than its factorization.

106687023480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55802 (or 55792 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 106687023480 in words is "one hundred six billion, six hundred eighty-seven million, twenty-three thousand, four hundred eighty".