102356142306 has 64 divisors (see below), whose sum is σ = 227132712576. Its totient is φ = 30488486400.

The previous prime is 102356142289. The next prime is 102356142323. The reversal of 102356142306 is 603241653201.

It is an interprime number because it is at equal distance from previous prime (102356142289) and next prime (102356142323).

It is a super-2 number, since 2×102356142306² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 6808510 + ... + 6823526.

It is an arithmetic number, because the mean of its divisors is an integer number (3548948634).

Almost surely, 2^102356142306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102356142306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113566356288).

102356142306 is an abundant number, since it is smaller than the sum of its proper divisors (124776570270).

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

102356142306 is a wasteful number, since it uses less digits than its factorization.

102356142306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16787.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 102356142306 its reverse (603241653201), we get a palindrome (705597795507).

The spelling of 102356142306 in words is "one hundred two billion, three hundred fifty-six million, one hundred forty-two thousand, three hundred six".