107401536 has 252 divisors, whose sum is σ = 358359456. Its totient is φ = 30666240.

The previous prime is 107401531. The next prime is 107401537. The reversal of 107401536 is 635104701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107401531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1602975 + ... + 1603041.

Almost surely, 2^107401536 is an apocalyptic number.

107401536 is a gapful number since it is divisible by the number (16) 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 107401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179179728).

107401536 is an abundant number, since it is smaller than the sum of its proper divisors (250957920).

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

107401536 is a wasteful number, since it uses less digits than its factorization.

107401536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107401536 is about 10363.4712331342. The cubic root of 107401536 is about 475.3390539560.

The spelling of 107401536 in words is "one hundred seven million, four hundred one thousand, five hundred thirty-six".